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Mademuasel [1]
2 years ago
9

Find the value of x and BC if B is between C and D CB=4x-9 BD=3x+5 and CD= 17

Mathematics
1 answer:
snow_tiger [21]2 years ago
4 0
X = 3 and CB = 19. To find x you would put 4x-9 + 3x+5 = 17. Remember to get all the x’s on one side and the other numbers on the other aide of the equal sign. Then plug x into the length of BC.
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Using the given set of numbers find the mean (rounded to the nearest tenth), median,mode and range: 18,19,16,18,14,17,18 and 15
sashaice [31]

Answer:

  • Mean = 16.9
  • Mode = 18
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Step-by-step explanation:

<u>Given data:</u>

  • 18, 19, 16, 18, 14, 17, 18, 15

<u>The data in the ascending order:</u>

  • 14, 15, 16, 17, 18, 18, 18, 19

<u>The mean:</u>

  • (14 + 15 + 16 + 17 + 18*3 + 19)/8 = 16.9 (rounded)

<u>The median:</u>

  • (17 + 18)/2 = 17.5 (the average of middle terms)

<u>The mode:</u>

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8 0
2 years ago
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A pharmacist wants to mix a 30% saline solution with a 10% saline solution to get 200 mL of a 12% saline solution. How much of e
Bess [88]

Answer:

30% constituents=20 mL

10% constituents=180 mL

Step-by-step explanation:

x= 30% volume

y=10% volume

For our first equation, we know the total volume is 200 mL and is the sum

x+y=200

y=200-x (1)

For our second equation, we do a mass balance for 200 mL of final solution.

12% w/v = 0.12 g/mL

This means that in 1 mL of solution, we have 0.12 g of NaCl.

For any solution, concentration multiplied by volume will give the mass of NaCl:

Mass in x mL= C*V (g/mL) (mL)

So in 200 mL, we have

0.12*200 (g/mL) (mL)

=24g of NaCl

Cx*Vx + Cy*Vy=24

0.3x+0.1y=24 (2)

Substitute y=200-x into (2)

0.3x+0.1(200-x)=24

0.3x+20-0.1x=24

0.2x=24-20

0.2x=4

Divide both sides by 0.2

0.2x/0.2=4/0.2

x=20

Substitute x=20 into (1)

y=200-x

y=200-20

y=180

30% constituents=20 mL

10% constituents=180 mL

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2 years ago
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Mrac [35]

Answer:

118 fluid ounces in all.

Step-by-step explanation:

The answer 118 because 14.75 multiplied by 8 is 118.

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Hint: 1 mile = 5280 feet
Ghella [55]

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Step-by-step explanation:

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What is the slope of this graph?
sleet_krkn [62]

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The graph goes down 3 for each one on the x-axis

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